Click Here to Download: https://ouo.io/SDv6Pl Smooth Analysis in Banach Spaces By: Petr Hájek; Michal Johanis Publisher: De Gruyter Print ISBN: 9783110258981, 3110258986 eText ISBN: 9783110391992, 3110391996 Edition: 1st Copyright year: 2014 Format: EPUB Available from $ 196.00 USD SKU 9783110391992 This bookis aboutthe subject of higher smoothness in separable real Banach spaces.It brings together several angles of view on polynomials, both in finite and infinite setting.Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treatedherefor the first time in full detail, therefore this book may also serve as a reference book.
